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Get yourself a cheap and cheerful practice razor with a set bevel.

if not sharp enough I recommend a pasted strop or a hone. Personally I would choose the latter.

Is your blade sharp enough? My neck is the first area that I usually notice that a blade needs sharpening again.

Straights shave closer. The cartridge thingy that holds the blade will actually position the blade slightly above the level of the skin. Your straight lies on the skin and if you are less experienced...